Let A = co 1 2 3 1 14 0 1 02 -3 0 1000 Find a basis for the row space of A. Find a basis for the column space of A. Find a basis for the null space of A. What are the rank and nullity of A?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 44EQ
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Let A=
=
[12 3
1
14
1
0 2 3 0
100 0
30
Find a basis for the row space of A.
Find a basis for the column space of A.
Find a basis for the null space of A.
What are the rank and nullity of A?
Transcribed Image Text:Let A= = [12 3 1 14 1 0 2 3 0 100 0 30 Find a basis for the row space of A. Find a basis for the column space of A. Find a basis for the null space of A. What are the rank and nullity of A?
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